One end of a thermally insulated rod is kept at a temperature `T_1` and the other at `T_2`. The rod is composed of two sections of length `l_1` and `l_2` and thermal conductivities `K_1` and `K_2` respectively. The temperature at the interface of the two section is

A slab consists fo two parallel layer of different materials of same thickness and thermal conductivities K_1 and K_2 .The equivalent thermal conductivity off the slab is :

If k_1 and k_2 are rate constants at temperatures T_1 and T_2 respectively, then according to Arrhenius equation,

Densities of two gases are in the ratio 1: 2 and their temperatures are in the ratio 2:1 , then the ratio of their respective pressure is

Two rods X and Y are of equal lengths. Each rod has its ends at temperature T_1 and T_2 . What is the condition that will ensure equal rate of flow of heat through the rods X and Y?

V-I graph for a metallic wire at two different temperatuare T_1 and T_2 is as shown in the following figure. Which of the two temperature T_1 and T_2 is higher and why?

A point particle of mass M is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particles carry charges +q and -q respectively. This arrangement is held in a region of a uniform electric field E such that the rod makes a small angle theta (say of about 5 degree) with the field direction, fig. Find an expression for the minimum time needed for the rod to become parrallel to the field after it is set free.

A hollow doublew concave lens is made of very thin transparent material.It can be filled with air ofr either of two liquids L_1 and L_2 having refractive indices mu_1 and mu_2 respectively (mu_2>mu_1>1) .The lens will diverge a parallel beam of light,if it is filled with

Two closed vessels of equal volume containing air at pressure P_(1) and temperature T_(1) are connected to each other through a narrow tube. If the temperature in one of the vessels is now maintained at T_(1) and that in the other at T_(2) , what will be the pressure in the vessels?